Question

Explain how to graph x – 2y = 4 using the x- and y-intercepts method. Be sure to use complete sentences and use the x- and y-intercepts method only.

Answer 1

Okay.

We have our equation here:

x - 2y = 4

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There are two rules we need to know:

1. Find the X intercept by making Y = 0.
2. Find the Y intercept by making X = 0.

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So, here's how we find the X intercept:

x - 2(0) = 4

See how I made Y equal 0?

So,
x - 0 = 4

X = 4.

So, in this case, the x intercepts would be.....

(4, 0) and (-4, 0)

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You can use the second rule to find the Y intercept.

Just make X equal to 0.

Answer 2

But how would I explain that?

Answer 3

Sorry for having left earlier. My tutoring client arrived, and I needed to get to work.

You could explain it the same way I did, above.

In order to find the Y intercept,
the first thing you would need to do is make X equal to 0.

When you finally do have the value for the Y intercept,
remember to put it in the Y slot, in the ordered pairs.

For example, if the Y intercept were 4...
then these would be the Y intercept ordered pairs:

(0, 4) and (0, -4).